Question

1. a student wrote the inequality $sqrt{x}>2.5$. which integer represents the smallest value of $x$ that would make the inequality true?

a 4
b. 5
c. 6
d. 7

Explanation:

Step1: Square both sides of inequality

Since $\sqrt{x}>2.5$ and $x\geq0$ (because of the square - root function), squaring both sides gives $x > 2.5^2$.

Step2: Calculate $2.5^2$

$2.5^2=2.5\times2.5 = 6.25$.

Step3: Find the smallest integer

The smallest integer greater than $6.25$ is $7$.

Answer:

D. 7